Global small-data solutions exist above a critical exponent (Strauss-type for Boussinesq operators with derivative nonlinearity, Fujita-type for plate operators with power nonlinearity) in damped evolution equations.
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Dispersive estimates for wave-type equations with time-dependent damping
Global small-data solutions exist above a critical exponent (Strauss-type for Boussinesq operators with derivative nonlinearity, Fujita-type for plate operators with power nonlinearity) in damped evolution equations.